Math Problem Statement
The original question submitted by the user as text, related to matrix orders and element positions from the provided image.
Solution
Let's go through the questions in the image one by one:
1. Diketahui matriks A, elemen pada baris ke-dua kolom ke-tiga adalah ...
The given matrix is:
3 & 2 & 0 \\ -1 & 4 & 5 \\ -2 & -1 & 6 \end{pmatrix}$$ We are asked for the element in the second row and third column. This element is $$A_{2,3} = 5$$. **Answer: a. 5** --- ### 2. **Orde dari matriks B adalah ...** The given matrix $$B$$ is: $$B = \begin{pmatrix} 3 & 2 \\ -1 & 4 \\ -2 & -1 \end{pmatrix}$$ The order of a matrix is written as $$m \times n$$, where $$m$$ is the number of rows and $$n$$ is the number of columns. Matrix $$B$$ has 3 rows and 2 columns, so its order is $$3 \times 2$$. **Answer: d. 3x2** --- ### 3. **Orde dari matriks D adalah ...** The given matrix $$D$$ is: $$D = \begin{pmatrix} -1 & 5 & -4 \\ -2 & 3 & 1 \end{pmatrix}$$ Matrix $$D$$ has 2 rows and 3 columns, so its order is $$2 \times 3$$. **Answer: b. 2x3** --- ### 4. **Orde dari matriks F adalah ...** The given matrix $$F$$ is: $$F = \begin{pmatrix} 1 & 2 \end{pmatrix}$$ Matrix $$F$$ has 1 row and 2 columns, so its order is $$1 \times 2$$. **Answer: a. 1x2** --- ### 5. **Orde dari matriks B adalah ...** The given matrix is: $$B = \begin{pmatrix} -1 \\ 2 \\ 7 \end{pmatrix}$$ This matrix has 3 rows and 1 column, so its order is $$3 \times 1$$. **Answer: c. 3x1** --- ### 6. **Orde dari matriks A adalah ...** Matrix $$A$$ is: $$A = \begin{pmatrix} 3 & 2 & 0 \\ -1 & 4 & 5 \\ -2 & -1 & 6 \end{pmatrix}$$ Matrix $$A$$ has 3 rows and 3 columns, so its order is $$3 \times 3$$. **Answer: e. 3x3** --- Would you like to go over any of these questions in more detail or explore additional concepts? Here are 5 related questions: 1. What is the determinant of matrix $$A$$? 2. How do you calculate the transpose of matrix $$D$$? 3. What is the inverse of a $$2 \times 2$$ matrix? 4. How can you find the rank of a matrix? 5. What is a singular matrix? **Tip:** The order of a matrix helps determine the shape and dimensions of the matrix, which are crucial for matrix operations like multiplication, addition, and finding determinants.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix Order
Matrix Elements
Formulas
Order of a matrix: m × n where m is the number of rows and n is the number of columns
Theorems
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Suitable Grade Level
Grades 9-12